ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these D

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

• A = C A
• A = B B
• B = C C
• None of these D

• A A
• A' B
• U C
• None of these D

• A onto B A
• both a & c B
• A into B C
• none of these D

The set {1, -1, 1, -1}, form a group under

• Addition A
• Multiplication B
• Subtraction C
• None D

The set of complex numbers forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Subtraction D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset C
• None of these D

The graph of a linear function is

• a circle A
• triangle B
• a straight line C
• none of these D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B D

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

The extraction of cube root of a given number is a

• Unary Operation A
• Binary Operation B
• Relation C
• None of these D

Two sets A and B are said to be disjoint if

• 
  A
• 
  B
• 
  C
• 
  D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• 
  D

if A = (x/x€ Q˄ 0 < x < 1}, the A is

• Infinite set A
• Finite set B
• Set of rational numbers C
• Set of real numbers D

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

• Equal sets A
• Equivalent sets B
• Over lapping sets C
• None of these D

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

The many subset can be formed from the set {a,b,c,d}

• 8 A
• 4 B
• 12 C
• 16 D

The set of complex numbers forms a group under the binary operation of

• Addition A
• none of these B
• Division C
• Subtraction D

The set of whole numbers is subset of

• The set on integers A
• The set of natural numbers B
• {1, 3, 5, 7, ....} C
• The set of prime numbers D

The negation of a number

• a relation A
• a function B
• unary operation C
• binary operation D

The set {{a,b}} is

• Infinite set A
• Singleton set B
• Two points set C
• None D

The identity elements with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

• 2, 2, 2 A
• 3, 3, 3 B
• 2, 2, 4 C
• 2, 3, 4 D

• 
  A
• 
  B
• 
  C
• 
  D

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) D

Which of the following sets is finite

• The set of natural numbers between 3 and 10 A
• The set of rational numbers between 3 and 10 B
• The set of real numbers between 0 and 1 C
• The set of rational numbers between 0 and 1 D